Final Answer
$\frac{\left(-3303x^{2}y^{122}+133221x^3y^{121}\right)\sqrt[5]{y^{132611}}}{5\sqrt[5]{x^{3318}}}$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Simplifying
$\frac{d}{dx}\left(\left(x^3y^{-121}\right)^{-\frac{1101}{5}}\right)$
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(\left(x^3y^{-121}\right)^{-\frac{1101}{5}}\right)$
Learn how to solve problems step by step online. Find the derivative of (x^3y^(-121))^1/5^(-1101). Simplifying. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Final Answer
$\frac{\left(-3303x^{2}y^{122}+133221x^3y^{121}\right)\sqrt[5]{y^{132611}}}{5\sqrt[5]{x^{3318}}}$